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Finding the Fourth Proportional to 100,178.42, 150,029.09 and 57,969.54

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Solution

The fourth proportional to 100,178.42, 150,029.09 and 57,969.54 is: 86,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,178.42 : 150,029.09 = 57,969.54 : x
  2. Step 2: Convert to fraction form
    100,178.42/150,029.09 = 57,969.54/x
  3. Step 3: Cross multiply
    100,178.42x = 150,029.09 × 57,969.54
  4. Step 4: Simplify right side
    100,178.42x = 8,697,117,044.07
  5. Step 5: Solve for x
    x = 8,697,117,044.07/100,178.42
  6. Step 6: Final answer
    x = 86,816.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.